The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 0 for r(t) = t2i + (7t3 - 10)j +
k
A. a(0) = 2i + k
B. a(0) = 2i - k
C. a(0) = 2i - k
D. a(0) = 2i - k
Answer: C
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Use the table to determine the probability. Round your answer to three decimal places if necessary.The following table displays the age, in years, and sex for the residents of a retirement home.Age (years)? 60-69 70-79 Over 79Total Male0.19?0.10.11?? Female0.20.1?0.3?? Total???1What is the probability that a resident is male and in the age group 60-79?
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Solve the problem.Calculate the coordinates of the new location of the point (0, -3) when it is rotated 30° counterclockwise about the origin. Remember that it is the matrix that rotates a point 30° counterclockwise about the origin.
A.
B.
C.
D.